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Volumn 81, Issue 2, 2011, Pages 207-211

A revision of Kimberling's results - With an application to max-infinite divisibility of some Archimedean copulas

Author keywords

43A35; 60E05; Archimedean copula; Bernstein function; Completely monotone function; De Finetti type theorem; Max infinite divisibility; Multivariate distribution function

Indexed keywords


EID: 78649611516     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2010.11.008     Document Type: Article
Times cited : (2)

References (7)
  • 2
    • 38249006076 scopus 로고
    • A characterisation of Gumbel's family of extreme value distributions
    • Genest C., Rivest L.P. A characterisation of Gumbel's family of extreme value distributions. Statist. Probab. Lett. 1989, 8:207-211.
    • (1989) Statist. Probab. Lett. , vol.8 , pp. 207-211
    • Genest, C.1    Rivest, L.P.2
  • 3
    • 0041805551 scopus 로고
    • Infinite divisibility of integer-valued random variables
    • Katti S.K. Infinite divisibility of integer-valued random variables. Ann. Math. Stat. 1967, 38:1306-1308.
    • (1967) Ann. Math. Stat. , vol.38 , pp. 1306-1308
    • Katti, S.K.1
  • 4
    • 0001502378 scopus 로고
    • A probabilistic interpretation of complete monotonicity
    • Kimberling C.H. A probabilistic interpretation of complete monotonicity. Aequationes Math. 1974, 10:152-164.
    • (1974) Aequationes Math. , vol.10 , pp. 152-164
    • Kimberling, C.H.1
  • 6
    • 0242384100 scopus 로고
    • Semigroups in probability theory
    • Plenum Press, New York, H. Heyer (Ed.)
    • Ressel P. Semigroups in probability theory. Probability Measures on Groups X 1991, 337-363. Plenum Press, New York. H. Heyer (Ed.).
    • (1991) Probability Measures on Groups X , pp. 337-363
    • Ressel, P.1
  • 7
    • 0043107325 scopus 로고
    • Non homogeneous De Finetti-type theorems
    • Ressel P. Non homogeneous De Finetti-type theorems. J. Theoret. Probab. 1994, 7:469-482.
    • (1994) J. Theoret. Probab. , vol.7 , pp. 469-482
    • Ressel, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.